Can I make a new Base Layer (in Animator) without defining a default state?

There is one animation that I want to override any other animation

I'm trying to create a new base layer with:

    [ Any State ] -------> [The animation]
 
              [ Empty Default State ]

That empty default state is not linked to anything. The problem is this state is constantly active and loops over and over.

But I don't want a default state for that layer. I just want "The animation" to override another animation that is on the base layer.

How do I achieve this?

Thanks in advance